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coherent state in geometric quantization

…coherent state in geometric quantization…

References

The original reference that interpreted coherent states in the geometric quantization over Kähler manifold is

• J. H. Rawnsley, Coherent states and Kaehler manifolds, Quart. J. Math. Oxford (2), 28 (1977), pp. 403–415

A review and further developments of these considerations are in

• Mauro Spera, On Kählerian coherent states (djvu)

Generalization to non-Kähler symplectic manifolds is in

• William D. Kirwin, Coherent states in geometric quantization, J. Geom. Phys. 57 (2007), no. 2, 531–548. arXiv:0502026 MR2008b:53114 doi

See also

• Anatol Odzijewicz, Coherent state method in geometric quantization, in Twenty Years of Bialowiez: a mathematical anthology, Aspects of Differential Geometric Methods in Physics_ (pp 47-78) , World Sci. Monogr. Ser. Math. 8 (2005); Coherent states and geometric quantization, Comm. Math. Phys. 150 (1992), no. 2, 385–413 doi 94c:58077

• Brian Charles Hall, Geometric quantization and the generalized Segal–Bargmann transform for Lie groups of compact type, Comm. Math. Phys., 226:233–268, 2002. doi

• D. J. Rowe, Coherent states, induced representations, geometric quantization, and their vector coherent state extensions, Symmetry in physics, 177–188, CRM Proc. Lecture Notes 34, Amer. Math. Soc. 2004. MR2005a:81100

• C. Florentino, P. Matias, J. Mourão, J. P. Nunes, Geometric quantization, complex structures and the coherent state transform, J. Funct. Anal. 221(2):303–322, 2005 MR2005m:53179 doi